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1463100342 = 23111710112911
BaseRepresentation
bin101011100110101…
…0010001110110110
310202222002012100120
41113031102032312
510444023202332
6401103152410
751154101444
oct12715221666
93688065316
101463100342
11690977a40
12349ba5706
131a4172962
14dc459b94
15886ab32c
hex573523b6

1463100342 has 64 divisors (see below), whose sum is σ = 3413726208. Its totient is φ = 413120000.

The previous prime is 1463100341. The next prime is 1463100343. The reversal of 1463100342 is 2430013641.

It is an interprime number because it is at equal distance from previous prime (1463100341) and next prime (1463100343).

It is a super-2 number, since 2×14631003422 = 4281325221521033928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463100341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106867 + ... + 119777.

It is an arithmetic number, because the mean of its divisors is an integer number (53339472).

Almost surely, 21463100342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463100342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706863104).

1463100342 is an abundant number, since it is smaller than the sum of its proper divisors (1950625866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1463100342 is a wasteful number, since it uses less digits than its factorization.

1463100342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13045.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1463100342 is about 38250.4946634681. The cubic root of 1463100342 is about 1135.2496341334.

Adding to 1463100342 its reverse (2430013641), we get a palindrome (3893113983).

The spelling of 1463100342 in words is "one billion, four hundred sixty-three million, one hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 303 374 561 606 1111 1122 1717 2222 3333 3434 5151 6666 10302 12911 18887 25822 37774 38733 56661 77466 113322 142021 219487 284042 426063 438974 658461 852126 1304011 1316922 2414357 2608022 3912033 4828714 7243071 7824066 14344121 14486142 22168187 28688242 43032363 44336374 66504561 86064726 133009122 243850057 487700114 731550171 1463100342